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A simple one-dimensional model of a false aneurysm in the femoral artery
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
St.Petersburg State University, Mathematics and Mechanics Faculty, St. Petersburg, Russia.
2016 (English)In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 214, no 3, 287-301 p.Article in journal (Refereed) Published
Abstract [en]

Using the dimension reduction procedure, a one-dimensional model of a periodic blood flow in the artery through a small hole in a thin elastic wall to a spindle-shaped hematoma, is constructed. This model is described by a system of two parabolic and one hyperbolic equations provided with mixed boundary and periodicity conditions. The blood exchange between the artery and the hematoma is expressed by the Kirchhoff transmission conditions. Despite the simplicity, the constructed model allows us to describe the damping of a pulsating blood flow by the hematoma and to determine the condition of its growth. In medicine, the biological object considered is called a false aneurysm.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 214, no 3, 287-301 p.
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-127727DOI: 10.1007/s10958-016-2778-1OAI: diva2:927240
Available from: 2016-05-11 Created: 2016-05-11 Last updated: 2016-05-19Bibliographically approved

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Kozlov, Vladimir ANazarov, Sergei A.
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Mathematics and Applied MathematicsFaculty of Science & Engineering
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